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http://dx.doi.org/10.3795/KSME-A.2004.28.5.511

Effects of Gravity and Angular Velocity Profiles on the Dynamic Behavior of an Automatic Ball Balancer  

Jung, Du-Han (한양대학교 대학원 정밀기계공학과)
Chung, Jin-Tai (한양대학교 기계정보경영공학부)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.28, no.5, 2004 , pp. 511-516 More about this Journal
Abstract
The dynamic behavior of an automatic ball balancer (ABB) is studied considering the effects of gravity and angular velocity profiles. In this study, a physical model for an ABB installed on the Jeffcott rotor is adopted in order to investigate the effects of gravity and angular acceleration. The equations of motion for the rotor with ABB are derived by using Lagrange's equation. Based on derived equations, dynamic responses for the rotor are computed by using the generalized-o method. From the computed responses, the effects of gravity and angular velocity profiles on the dynamic behavior are investigated. It is found that the balancing of the rotor with ABB can be achieved regardless of gravity. It Is also shown that a smooth velocity profile yields relatively smaller vibration amplitude than a non-smooth velocity profile.
Keywords
Automatic ball balancer; Gravity effect; Velocity profile; Generalized-$\alpha$ method;
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